The following situation has come up for me now and then: I want to work with 
groups of types that share a common behavior, but that behavior is not sourced 
in the implementation of the Self type but rather in a secondary type.  
Specifically, could Swift be extended to introduce a protocol requirement that 
discusses how a type is used by a secondary type and not the kind of member 
provided directly by the type. For example:

// These are all numbers
let int32: Int32 = 1; let int8: Int8 = 1
let double: Double = 1.0; let cgfloat: CGFloat = 1.0; let float: Float = 1

// They can all be converted to Double using Double.init
Double(int32); Double(int8); Double(double); Double(cgfloat); Double(float)

// A heterogeneous collection cannot be unified into a single protocol
let foo: [Any] = [int32, int8, double, cgfloat, float]
foo.map{ Double($0) } // Can't work, Any doesn't make any sense here

The kind of thing I am looking for is something like this:

protocol DoubleSource {
    Double.init(Self)
}

In other words, the functionality constraint is not provided by the base type 
but by a second type to which the base type is a parameter.

My use case is for unrelated types (that is, there's no inheritance 
relationship like you'd find in `UISwitch` and `UISlider`, for example -- both 
of which are `UIView` and `UIControl`), where there is a secondary type that 
implements behavior with the same signature for these separate types, such as 
the Double initializer. Where this pops up the most is in working with 
Sprite/SceneKit, GamePlayKit, QuartzCore, Accelerate, unifying my numeric 
values so I can mix and match calls and clean up the flow where some calls 
require CGPoint, others need float2, etc. Ideally I would be able to 

extension DoubleSource {
    func bar() -> T {
        let value = Double.init(self)
        // do something with value; return T of some type
    }
}

let foo: [DoubleSource] = [int32, int8, double, cgfloat, float]
foo.map{ bar($0) } // would work

Would something like this be a valuable direction to extend Swift? Is it 
something found in other languages? Does this kind of requirement have a name? 
Is it *pragmatically* possible to introduce it in Swift?

Thanks in advance for your thoughts and insights.

-- E

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